A line segment has endpoints (1, 1) and (4, 4) . Demonstrating the properties of reflections across the y -axis, what are the reflected endpoints?
To reflect a point across the y-axis, we negate the x-coordinate while keeping the y-coordinate the same.
The given endpoints are (1, 1) and (4, 4).
To reflect the first endpoint (1, 1) across the y-axis, we negate the x-coordinate to get (-1, 1).
To reflect the second endpoint (4, 4) across the y-axis, we negate the x-coordinate to get (-4, 4).
So, the reflected endpoints are (-1, 1) and (-4, 4).